Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Lecture notes in mathematics

Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations

Sergio A Albeverio, Francesco C. De Vecchi, Stefania Ugolini

Published Aug 3, 2022• 1 citation
Publisher
DOI
10.1007/978-3-031-12244-6_36

Related papers

Stochastic mechanics and nonlinear schrödinger equation

Hans-Jürgen Mann

Reports on Mathematical Physics•Aug 1, 1999•4 citations

From two stochastic optimal control problems to the Schrodinger equation

Katherine A. Kime, Austin Blaquière

Springer eBooks•Feb 6, 2006•11 citations

Nonlinear Quantum Mechanics, the Separation Property, and a Stochastic Alternative to Certain Nonlinear Schrödinger Equations

Gerald A. Goldin, George Svetlichny

Springer eBooks•Jan 1, 1994•3 citations

Quantum-mechanical representations of nonlinear filtering and stochastic optimal control

Akira Ohsumi

Systems & Control Letters•Feb 1, 1989•3 citations

Lessons from the quantum control landscape: Robust optimal control of quantum systems and optimal control of nonlinear Schrödinger equations

David L. Hocker

•Jan 1, 2016•0 citations

Nonlinear Filtering, Bellman Equations, and Schrodinger Equations

Akira Ohsumi

In this paper, the relations between theories of the quantum mechanics and the stochastic control are briefly surveyed based on the recent works of the author (Ohsumi, $1989a(Ohsumi, $ ,$ $1989b(Ohsumi, $ $ , 1992)).Concretely, two types of (nonlinear) Schr\"odinger eqations from the stochsatic control theory by introducing wavefunctions which connect two solutions of nonlinear filtering equation and stochastic optimal control problem.Furthermore, an inverse prob- lem is investigated to derive the optimal control problem from a given Schr\"odinger equation.

•Sep 1, 1994•0 citations
In this paper, the relations between theories of the quantum mechanics and the stochastic control are briefly surveyed based on the recent works of the author (Ohsumi, $1989a(Ohsumi, $ ,$ $1989b(Ohsumi, $ $ , 1992)).Concretely, two types of (nonlinear) Schr\"odinger eqations from the stochsatic control theory by introducing wavefunctions which connect two solutions of nonlinear filtering equation and stochastic optimal control problem.Furthermore, an inverse prob- lem is investigated to derive the optimal control problem from a given Schr\"odinger equation.